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Finding the Fourth Proportional to 133,751.18, 200,639.46 and 37,688.06

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Solution

The fourth proportional to 133,751.18, 200,639.46 and 37,688.06 is: 56,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,751.18 : 200,639.46 = 37,688.06 : x
  2. Step 2: Convert to fraction form
    133,751.18/200,639.46 = 37,688.06/x
  3. Step 3: Cross multiply
    133,751.18x = 200,639.46 × 37,688.06
  4. Step 4: Simplify right side
    133,751.18x = 7,561,712,006.85
  5. Step 5: Solve for x
    x = 7,561,712,006.85/133,751.18
  6. Step 6: Final answer
    x = 56,535.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.